An investor purchases a stock for $38 and a put for $0.50 with a strike price of $35. The investor sells a call for $0.50 with a strike price of $40. What is the maximum profit and loss for this position

To determine the maximum profit and loss for this position, we need to analyze the investor's combined position, which consists of:

1. **Buying a stock** at $38.
2. **Buying a put option** with a strike price of $35 for $0.50.
3. **Selling a call option** with a strike price of $40 for $0.50.

### Components:
- **Stock purchase** at $38.
- **Put option**: Gives the investor the right to sell the stock at $35.
- **Call option**: The investor is obligated to sell the stock at $40 if the stock price goes above $40.

#### 1. **Maximum Profit**:
The maximum profit occurs if the stock price goes to or above $40.

- When the stock price is at or above $40, the call option will be exercised, and the investor will sell the stock for $40.
- The investor receives $40 for the stock, but they initially bought it for $38, giving a profit of $2 on the stock.
- The net premium from selling the call and buying the put is $0 ($0.50 received from the call and $0.50 paid for the put), so no additional profit or cost is incurred from the options.
- **Maximum profit = $2 (stock sale at $40 - stock purchase at $38)**.

#### 2. **Maximum Loss**:
The maximum loss occurs if the stock price drops to or below the strike price of the put, which is $35.

- The stock will be worth $35 or less, but the investor can sell it at $35 due to the put option.
- The loss on the stock is $3 ($38 stock purchase - $35 put strike price).
- Adding the net option premium (which is $0, as explained above), the maximum loss remains $3.
  
- **Maximum loss = $3 (stock purchase at $38 - put option strike price at $35)**.

### Summary:
- **Maximum Profit**: $2
- **Maximum Loss**: $3

Would you like a further breakdown of any part of this explanation?

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Here are 5 related questions to expand on this:
1. How would the profit/loss change if the stock price stayed between $35 and $40?
2. What happens to the profit/loss if the investor changes the strike price of the call option?
3. How does the net premium affect the outcome in different scenarios?
4. What role does the volatility of the stock price play in option strategies like this?
5. How would the profit/loss change if the investor buys the stock at a different price?

**Tip**: When trading options, understanding the relationship between the stock price and the strike prices is key to calculating potential outcomes.

An investor purchases a stock for $38 and a put for $0.50 with a strike price of $35. The investor sells a call for $0.50 with a strike price of $40. What is the maximum profit and loss for this position?

Analyze a stock trading strategy where an investor buys a stock at $38, buys a put at $0.50 with a $35 strike price, and sells a call at $0.50 with a $40 strike price. Learn how to calculate the maximum profit of $2 and maximum loss of $3. Understand key financial math concepts in options trading.

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